7 citations · 9 across the 7 of their papers we have counts for
8 papers
Remarks on periodic points, flux, and the mean index in symplectic dynamics
Marcelo S. Atallah, Marta Batoréo, Brayan Ferreira
It is shown that a symplectic isotopy with non-degenerate end-point on a closed symplectically Calabi--Yau manifold has simple periodic points of arbitrarily large period under a s…
Canonical frames in contact 3-manifolds and applications
Brayan Ferreira, Marcelo Miranda, Alejandro Vicente
We study contact 3-manifolds with a special global frame inspired by Cartan's structure equations. This frame is dual to a generalized Finsler structure defined by Bryant. We p…
Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension
Rafael Fernandes, Brayan Ferreira
In this paper, we make use of elementary spectral invariants given by the max-min energy of pseudoholomorphic curves, recently defined by Michael Hutchings, to study periodic -d…
Systolic inequalities on the sphere from symplectic embeddings
Brayan Ferreira
We use properties of symplectic capacities that were recently defined by Hutchings to obtain upper bounds on the minimal action of Reeb orbits on fiberwise star-shaped hypersurface…
The number of periodic points of surface symplectic diffeomorphisms
Marcelo S. Atallah, Marta Batoréo, Brayan Ferreira
We use symplectic tools to establish a smooth variant of Franks theorem for a closed orientable surface of positive genus ; it implies that a symplectic diffeomorphism isotopic…
Elliptic Reeb orbit on some real projective three-spaces via ECH
Brayan Ferreira
We prove the existence of an elliptic Reeb orbit for some contact forms on the real projective three space . The main ingredient of the proof is the existence of a…
Gromov width of the disk cotangent bundle of spheres of revolution
Brayan Ferreira, Vinicius G. B. Ramos, Alejandro Vicente
Inspired by work of the first and second author, this paper studies the Gromov width of the disk cotangent bundle of spheroids and Zoll spheres of revolution. This is achieved with…
Symplectic embeddings into disk cotangent bundles
Brayan Ferreira, Vinicius G. B. Ramos
In this paper, we compute the embedded contact homology (ECH) capacities of the disk cotangent bundles and . We also find sharp symplectic embeddings in…